How to find a missing side with tangent

Practice Questions

ACT Math › How to find a missing side with tangent

Questions

In a given right triangle $\Delta ABC$ , leg and $\angle A = 27^{\circ}$ . Using the definition of $\tan$ , find the length of leg . Round all calculations to the nearest tenth.

In a given right triangle $\Delta ABC$ , leg and $\angle A = 61^{\circ}$ . Using the definition of $\tan$ , find the length of leg . Round all calculations to the nearest hundredth.

In a given right triangle $\Delta ABC$ , leg and $\angle A = 50.5^{\circ}$ . Using the definition of $\tan$ , find the length of leg . Round all calculations to the nearest tenth.

Tan50

What is the value of $\small x$ in the right triangle above? Round to the nearest hundredth.

Consider the triangle Find_missing_side_with_tangent where $A = 55^{\circ}$ . Find to the nearest decimal place.

Note: The triangle is not necessarily to scale

Josh is at the state fair when he decides to take a helicopter ride. He looks down at about a 35 ° angle of depression and sees his house. If the helicopter was about 250 ft above the ground, how far does the helicopter have to travel to be directly above his house?

sin 35 ° = 0.57 cos 35 ° = 0.82 tan 35 ° = 0.70

Right triangle

In the right triangle shown above, let , , and . What is the value of $\tan(B)?$ Reduce all fractions.

For the triangles in the figure given, which of the following is closest to the length of line NO?

Screen_shot_2013-06-03_at_5.56.50_pm

A piece of wire is tethered to a $30\textup{ foot}$ building at a $37$^{\circ}$$ angle. How far back is this wire from the bottom of said building? Round to the nearest inch.

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